Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator

Title:

Homoclinic orbits in a two-patch predator-prey model with Preisach hysteresis operator

Creator:

Pimenov, Alexander and Rachinskii, Dmitrii

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:972b7ca9-39be-42f8-b8d0-72c54810b56d
uuid:972b7ca9-39be-42f8-b8d0-72c54810b56d
doi:10.21136/MB.2014.143855

Subject:

robust homoclinic, orbit Preisach operator, operator-differential equations, and predator-prey model

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Systems of operator-differential equations with hysteresis operators can have unstable equilibrium points with an open basin of attraction. Such equilibria can have homoclinic orbits attached to them, and these orbits are robust. In this paper a population dynamics model with hysteretic response of the prey to variations of the predator is introduced. In this model the prey moves between two patches, and the derivative of the Preisach operator is used to describe the hysteretic flow between the patches. A numerical example of a robust homoclinic loop is presented, and a mechanism creating this homoclinic trajectory is discussed.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

285-298

Source:

Mathematica bohemica | 2014 Volume:139 | Number:2

Harvested from:

CDK

Metadata only:

false